Rank Test Based On Matrix Perturbation Theory
In this paper, we propose methods of the determination of the rank of matrix. We consider a rank test for an unobserved matrix for which an estimate exists having normal asymptotic distribution of order N1/2 where N is the sample size. The test statistic is based on the smallest estimated singular values. Using Matrix Perturbation Theory, the smallest singular values of random matrix converge asymptotically to zero in the order O(N-1) and the corresponding left and right singular vectors converge asymptotically in the order O(N-1/2). Moreover, the asymptotic distribution of the test statistic is seen to be chi-squared. The test has advantages over standard tests in being easier to compute. Two approaches are be considered sequential testing strategy and information theoretic criterion. We establish a strongly consistent of the determination of the rank of matrix using both the two approaches. Some economic applications are discussed and simulation evidence is given for this test. Its performance is compared to that of the LDU rank tests of Gill and Lewbel (1992) and Cragg and Donald (1996).
|Date of creation:||Jul 2001|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +322 299 3523
Fax: +322 299 3523
Web page: http://www.eeri.eu/index.htm
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Fischer, Stanley & Sahay, Ratna & Vegh, Carlos, 1998.
"How far is Eastern Europe from Brussels?,"
20059, University Library of Munich, Germany.
- George J. Borjas, 1987.
"Self-Selection and the Earnings of Immigrants,"
NBER Working Papers
2248, National Bureau of Economic Research, Inc.
- Burda, Michael C, 1995.
"Migration and the Option Value of Waiting,"
CEPR Discussion Papers
1229, C.E.P.R. Discussion Papers.
- Burda,M.C., 1995. "Migration and the Option Value of Waiting," Papers 597, Stockholm - International Economic Studies.
- M. C. Burda, 1995. "Migration and the Option Value of Waiting," SFB 373 Discussion Papers 1995,58, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Carrington, William J & Detragiache, Enrica & Vishwanath, Tara, 1996. "Migration with Endogenous Moving Costs," American Economic Review, American Economic Association, vol. 86(4), pages 909-30, September.
- George J. Borjas, 1994. "The Economics of Immigration," Journal of Economic Literature, American Economic Association, vol. 32(4), pages 1667-1717, December.
- Hans-Werner Sinn & Gebhard Flaig & Martin Werding & Sonja Munz & Nicola Düll & Herbert Hofmann, 2001. "EU-Erweiterung und Arbeitskräftemigration : Wege zu einer schrittweisen Annäherung der Arbeitsmärkte," ifo Beiträge zur Wirtschaftsforschung, Ifo Institute for Economic Research at the University of Munich, number 2, May.
- Bauer, Thomas K. & Zimmermann, Klaus F., 1999. "Report No. 3: Assessment of Possible Migration Pressure and its Labour Market Impact Following EU Enlargement to Central and Eastern Europe," IZA Research Reports 3, Institute for the Study of Labor (IZA).
- McCall, B P & McCall, J J, 1987. "A Sequential Study of Migration and Job Search," Journal of Labor Economics, University of Chicago Press, vol. 5(4), pages 452-76, October.
When requesting a correction, please mention this item's handle: RePEc:eei:rpaper:eeri_rp_2001_04. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Julia van Hove)
If references are entirely missing, you can add them using this form.